D-branes on the quintic

Abstract

We study D-branes on the quintic CY by combining results from several directions: general results on holomorphic curves and vector bundles, stringy geometry and mirror symmetry, and the boundary states in Gepner models recently constructed by Recknagel and Schomerus, to begin sketching a picture of D-branes in the stringy regime. We also make first steps towards computing superpotentials on the D-brane world-volumes.

D-brane monodromies from a matrix-factorization perspective

“…Note that in the following we abbreviate the branes, P [0] and P [1], by the short-hand notation, P andP . As a consequence of the interplay of the integer grading, n, and the grade, λ P , we also obtain the relation…”

“…One of these corresponds to the pure D6-brane [1], and hence also at a generic point in the complex structure moduli space the canonical matrix factorization contains the pure D6-brane in its equivariant orbit. Next we construct the matrix factorization of the quintic, which contains the D0-brane in its equivariant orbit.…”

Permutation orientifolds of Gepner models

“…For type IIA case, we will analyze in a similar way as in [12] and find a few solutions involving permutation orientifolds using the simple relations between the charges of D-branes and orientifolds in minimal models. For type IIB we see that the charges of D-branes and orientifolds are summarized into simple polynomials as was discussed in [4,16,22,43].…”

“…A class of D-branes were first constructed in [2] using Cardy's boundary states [3] in N = 2 minimal models. Since then, different aspects of them were studied including how they continue in moduli space to the large volume [4]. Similar analyses for orientifolds were first made in [5,6] and then in [7]- [14] using the standard crosscap states in N = 2 minimal models, and provided us with a large number of tadpole-free backgrounds where the particle spectra are explicitly computable [15].…”

BPS orientifold planes from crosscap states in Calabi-Yau compactifications

“…BPS D-branes, have been extensively studied in the past few years, both from the orbifold (see e.g. [2,3,4] and citations thereof) and simple current point of view (see e.g. [5,6,7]).…”